# Translations:Model used for deconvolution/11/en

the representation of the time series at any moment in terms of its own observable past history plus an unpredictable, random-like innovation. It is assumed that a seismic trace is additively composed of many overlapping seismic wavelets that arrive as time progresses. It is assumed that each wavelet has the same stable, one-sided, minimum-phase shape and that the arrival times and strengths of these wavelets may be represented by a time sequence of uncorrelated random variables. Since the geologic structure is physically fixed and constant in nature and has no intrinsic random characteristics, any statistical approach to this problem immediately encounters difficulties that are commonly associated in the statistical literature with the Theorem of Thomas Bayes. Nevertheless, modern statistical theory admits the bypassing of these difficulties, although with reservation, and hence the working geophysicist may be considered to be faced with a situation which is essentially statistical.